3(4k+14)=10k-2(k+6)

Solution for 3(4k+14)=10k-2(k+6) equation:

Simplifying
3(4k + 14) = 10k + -2(k + 6)

Reorder the terms:
3(14 + 4k) = 10k + -2(k + 6)
(14 * 3 + 4k * 3) = 10k + -2(k + 6)
(42 + 12k) = 10k + -2(k + 6)

Reorder the terms:
42 + 12k = 10k + -2(6 + k)
42 + 12k = 10k + (6 * -2 + k * -2)
42 + 12k = 10k + (-12 + -2k)

Reorder the terms:
42 + 12k = -12 + 10k + -2k

Combine like terms: 10k + -2k = 8k
42 + 12k = -12 + 8k

Solving
42 + 12k = -12 + 8k

Solving for variable 'k'.

Move all terms containing k to the left, all other terms to the right.

Add '-8k' to each side of the equation.
42 + 12k + -8k = -12 + 8k + -8k

Combine like terms: 12k + -8k = 4k
42 + 4k = -12 + 8k + -8k

Combine like terms: 8k + -8k = 0
42 + 4k = -12 + 0
42 + 4k = -12

Add '-42' to each side of the equation.
42 + -42 + 4k = -12 + -42

Combine like terms: 42 + -42 = 0
0 + 4k = -12 + -42
4k = -12 + -42

Combine like terms: -12 + -42 = -54
4k = -54

Divide each side by '4'.
k = -13.5

Simplifying
k = -13.5